拓扑(电路)
平方根
哈密顿量(控制论)
平方(代数)
物理
格子(音乐)
方格
量子力学
数学
几何学
组合数学
伊辛模型
声学
数学优化
作者
Huizhou Wu,Guochao Wei,Zhenzhen Liu,Jun‐Jun Xiao
出处
期刊:Optics Letters
[Optica Publishing Group]
日期:2021-07-22
卷期号:46 (17): 4256-4256
被引量:22
摘要
The square-root operation can generate systems with new (to the best of our knowledge) topological phases whose topological properties are inherited from the parent Hamiltonian. In this Letter, we introduce the concept of square-root topology in the two-dimensional (2D) Su–Schrieffer–Heeger (SSH) model and construct a square-root topological square nanoparticle lattice (SRTL) by inserting additional sites into the original 2D SSH model. We find that the topological states in the SRTL are intriguingly different from those in the corresponding SSH model (with on-site potential) due to the change in symmetrical characteristics. Plasmonic nanoparticle arrays are used to demonstrate this by including both nearest-neighbor and next-nearest-neighbor interactions within the dipole approximation. These unique topological states, such as the single corner mode and multiple topological edge modes, enrich the topological features produced by square-root operation and expand the scope to apply such topological features into photonic systems.
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